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Finding the Fourth Proportional to 51.91, 71.69 and 41.69

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Solution

The fourth proportional to 51.91, 71.69 and 41.69 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 71.69 = 41.69 : x
  2. Step 2: Convert to fraction form
    51.91/71.69 = 41.69/x
  3. Step 3: Cross multiply
    51.91x = 71.69 × 41.69
  4. Step 4: Simplify right side
    51.91x = 2,988.76
  5. Step 5: Solve for x
    x = 2,988.76/51.91
  6. Step 6: Final answer
    x = 57.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.